Magma V2.19-8 Tue Aug 20 2013 16:14:51 on localhost [Seed = 3499183292] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s820 geometric_solution 5.38587077 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.643682955440 0.625861853249 0 5 4 2 0132 0132 1230 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.575928592043 0.556064353310 5 0 1 3 3201 0132 2031 3012 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.575928592043 0.556064353310 4 4 2 0 1302 2031 1230 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.956065509230 1.390631195134 3 3 0 1 1302 2031 0132 3012 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.956065509230 1.390631195134 5 1 5 2 2310 0132 3201 2310 0 0 0 0 0 0 0 0 1 0 -1 0 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 -1 0 1 0 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.534257430675 1.205197894575 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0110_2'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : d['c_0101_2'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_1' : negation(d['c_0110_2']), 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0110_2']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_2, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 2/3*c_0110_2^2 + c_0110_2 - 2/3, c_0011_0 - 1, c_0011_3 + c_0110_2^2 - 2*c_0110_2 + 2, c_0011_4 - c_0110_2^2 + 2*c_0110_2 - 2, c_0101_0 + c_0110_2 - 1, c_0101_2 - c_0110_2^2 + 2*c_0110_2 - 1, c_0110_2^3 - 3*c_0110_2^2 + 4*c_0110_2 - 3 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_2, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 77269/820976*c_0110_2^7 + 974835/820976*c_0110_2^6 + 1657967/410488*c_0110_2^5 + 3398959/820976*c_0110_2^4 + 7968011/820976*c_0110_2^3 + 4574563/820976*c_0110_2^2 + 51423/820976*c_0110_2 - 1975121/410488, c_0011_0 - 1, c_0011_3 + 15849/205244*c_0110_2^7 + 117149/205244*c_0110_2^6 + 8628/51311*c_0110_2^5 + 235067/205244*c_0110_2^4 + 63913/205244*c_0110_2^3 - 165091/205244*c_0110_2^2 - 40015/205244*c_0110_2 + 14111/51311, c_0011_4 - 15849/205244*c_0110_2^7 - 117149/205244*c_0110_2^6 - 8628/51311*c_0110_2^5 - 235067/205244*c_0110_2^4 - 63913/205244*c_0110_2^3 + 165091/205244*c_0110_2^2 + 40015/205244*c_0110_2 - 14111/51311, c_0101_0 + 2829/51311*c_0110_2^7 + 17288/51311*c_0110_2^6 - 20617/51311*c_0110_2^5 + 35364/51311*c_0110_2^4 - 32259/51311*c_0110_2^3 - 51535/51311*c_0110_2^2 - 10911/51311*c_0110_2 + 19739/51311, c_0101_2 + 1993/31576*c_0110_2^7 + 16129/31576*c_0110_2^6 + 1832/3947*c_0110_2^5 + 32795/31576*c_0110_2^4 + 34181/31576*c_0110_2^3 + 3033/31576*c_0110_2^2 - 18971/31576*c_0110_2 + 654/3947, c_0110_2^8 + 8*c_0110_2^7 + 7*c_0110_2^6 + 19*c_0110_2^5 + 18*c_0110_2^4 + 4*c_0110_2^3 - 4*c_0110_2^2 + 3*c_0110_2 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB